Motion and Animation in Multiplication

This note records immanent coordinate systems carried by the support of multiplication tables and distinguishes fixed-integer Euclidean motion from frame-to-frame Zusean animation.Multiplicity, support, parity, projection, boundary admission, finite chamber coordinates, Cartesian extension, and Zusean coordinates are brought into a common reading of the evolving support chamber. Motion follows a fixed integer through changing Euclidean frames, while animation compares corresponding positions and structures across successive chambers.The note closes the core Euclidean Decomposition series.